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Finding the Fourth Proportional to 288,696.48, 432,936.99 and 99,103.11

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Solution

The fourth proportional to 288,696.48, 432,936.99 and 99,103.11 is: 148,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,696.48 : 432,936.99 = 99,103.11 : x
  2. Step 2: Convert to fraction form
    288,696.48/432,936.99 = 99,103.11/x
  3. Step 3: Cross multiply
    288,696.48x = 432,936.99 × 99,103.11
  4. Step 4: Simplify right side
    288,696.48x = 42,905,402,143.04
  5. Step 5: Solve for x
    x = 42,905,402,143.04/288,696.48
  6. Step 6: Final answer
    x = 148,617.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.